Question 33 - Part 2 - CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at Dec. 13, 2024 by Teachoo

This question is similar to Chapter 10 Class 10 Circles - Ex 10.2

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https://www.teachoo.com/1838/539/Ex-10.2--12---A-triangle-ABC-is-drawn-to-circumscribe-a-circle/category/Ex-10.2/

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Transcript

Question 33 – Part 2 Prove that the lengths of tangents drawn from an external point to a circle are equal. Using above result, find the length BC of 𝛥ABC. Given that, a circle is inscribed in 𝛥ABC touching the sides AB, BC and CA at R, P and Q respectively and AB= 10 cm, AQ= 7cm ,CQ= 5cm. From theorem 10.2, Lengths of tangents drawn from external point are equal Hence, AR = AQ = 7 cm CP = CQ = 5 cm BP = BR Since AB = 10 cm, and AR = 7 cm, ∴ BR = 3 cm Thus, BP = BR = 3 cm Now, BC = BP + CP = 3 + 5 = 8 cm

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